A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o

Question

3 years ago

8

A ferry takes several trips between points A and B. It moves at a constant speed of 0.35 miles/minute and takes the same route o

n each trip. The total duration of a round trip from point A to point B and back is 80 minutes, ignoring the time spent stopped at point B. If d is the ferry’s distance from point A in miles and t is the time in minutes, which equation models the ferry’s distance from point A for the duration of the trip?
A.
d = -|0.35t – 40| + 40
B.
d = -|0.35t – 80| + 80
C.
d = -|0.35t – 28| + 28
D.
d = -|0.35t – 14| + 14

Mathematics

1 answer:

Fofino [41] · Answer 1 · 2022-05-06T02:23:05+03:00

The answer is -|0.35 t -14| +14

<u>Step-by-step explanation</u>:

The problem statement is asking for an expression for distance in miles, so the constants in the expression will be miles. In the time it takes to get to point B (40 minutes), the ferry has gone (0.35 mi/min)×(40 min) = 14 mi. Hence the maximum value of the function must be 14. The only function with that characteristic is the one of selection D.